Fragments of strong compactness, families of partitions and ideal extensions

• Autorzy: Laura Fontanella , Pierre Matet
• Języki publikacji: EN

Abstrakty

EN

We investigate some natural combinatorial principles related to the notion of mild ineffability, and use them to obtain new characterizations of mild ineffable and weakly compact cardinals. We also show that one of these principles may be satisfied by a successor cardinal. Finally, we establish a version for $𝓟_{κ}(λ)$ of the canonical Ramsey theorem for pairs.

Kategorie tematyczne

• 03E02: Partition relations
• 03E55: Large cardinals
• 03E05: Other combinatorial set theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2016
• Tom: 234
• Numer: 2
• Strony: 171-190

Daty

wydano

2016

Twórcy

autor

Laura Fontanella

• Einstein Institute of Mathematics, Hebrew University of Jerusalem, Edmund Safra Campus, Givat Ram, Jerusalem, Israel

autor

Pierre Matet

• Laboratoire de Mathématiques Nicolas Oresme, Université de Caen - CNRS, BP 5186, 14032 Caen Cedex, France

Identyfikatory

DOI

10.4064/fm172-1-2016